Ok, so let's start with the basics - to find out the DOF for a particular focusing distance. To do that with the DOF wheel, you first take note of the focusing distance from your lens' distance scale. Then you turn the DOF wheel (one with a focal length corresponding to your lens) to have the marker at the focusing distance. Then you look at the f-stop you want to use, and the DOF is indicated at the distance scale at the outer wheel.
Let's use the 50mm focal length in the DOFMaster example in the link you provided above. Let's say the focusing distance is about 21 feet as in the example. If you want to use f/4, the DOF would be about 16.5 ft - 27.5 ft. The DOF at 16.5 ft is called the "near field" and the 27.5 ft is called the "far field. So far so good?
Now back to hyperfocal distance. As mentioned in my previous post, hyperfocal distance is just the focusing distance where the far field of the DOF is at infinity. So using the same wheel, we work backward by just putting the desired f-stop mark at infinity for the far field DOF. Then just read off the hyperfocal distance at the focusing marker.
In the example above, the desired f-stop is f/16, that's why you see "16" is set to infinity. The hyperfocal distance is then 21ft as shown by the marker. If you want to use, say, f/11, just turn the wheel till "11" is at infinity, then read the focus distance.
Of course nowadays if you own an iPhone or an Android phone, you can just download a DOF app that has hyperfocal function (almost all of them do) and you're set.